For the problem of signal detection in Gaussian white noise, we obtain lower bounds for the asymptotics of moderate deviation
probabilities of type I and type II errors. These asymptotics are attained on tests of the
χ
2 type. Using these lower bounds, we find lower bounds for nonparametric confidence estimation in the moderate deviation zone.
Original Russian Text © M.S. Ermakov, 2008, published in Problemy Peredachi Informatsii, 2008, Vol. 44, No. 2, pp. 54–74.